Free Printable A1-CHAPTER 7 TEST 2024-25

1.

(x²-3x+2)/(x-2)

a)

x+1

b)

x-2

c)

x-1

d)

2x+2

2.

(2x⁴-7x³+14x²-55x+21)
___________________________
(2x-7)

a)

x²+7x-3

b)

x³-7x-3

c)

x²-7x+3

d)

x³+7x-3

3.

(x⁴+12x³+37x²+14x)/(x²+7x)

a)

x²+5x+2

b)

x²-5x-2

c)

x²-5x+2

d)

x²-5x-2

4.

a)

2x - 5

b)

x - 4 + (3/4x - 5)

c)

2x + 4 + (3/4x - 5)

d)

2x + 4

5.

a)

x + 5 + (2/2x - 4)

b)

x - 8

c)

x - 5 + (3/2x - 4)

d)

x + 5

6.

a)

A

b)

B

c)

C

d)

D

7.

Divide (x² + 5x - 8) by (x + 3). What is the remainder?

a)

16

b)

12

c)

-14

d)

-16

8.

What is the quotient when (10n²- 37n - 12) is divided by (n - 4)?

a)

(10n - 3)

b)

(3n - 10)

c)

(10n + 3)

d)

(3n + 10)

9.

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

a)

True

b)

False

10.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

11.

Find the quotient when (21x²- 52x + 32) is divided by (7x - 8).

a)

3x + 4

b)

3x + 3

c)

3x - 4

d)

3x + 2

12.

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

a)

x + 8

b)

x + 14

c)

x + 10

d)

x +4

13.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

14.

DIVIDE BY LONG DIVISION

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

15.

a)

2x³ + 3x + (7/x-4)

b)

2x² + 3x + 8 + (7/x-4)

c)

2x² + 3x + 8

d)

2x² - x + 10 + (6/x-4)

16.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

17.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

18.

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

19.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

20.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

21.

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

a)

3x⁴ - 2x³ - 4x² - 5

b)

3x⁴ - 7x³ - 4x² - 5

c)

3x⁴ - 7x³ - 4x² - 4

d)

3x⁴ - 5x³ - 4x² - 4

22.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

23.

Simplify the expression:
(4a + 1 + 4a⁴) - (4a³ + 2a + 3a⁴)

a)

a⁴ - 4a³ + 3a + 7

b)

a⁴ - 7a³ + 3a + 7

c)

a⁴ - 4a³ + 3a + 1

d)

a⁴ - 4a³ + 2a + 1

24.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

25.

Simplify:

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

26.

Simplify:

a)

-5a⁶- 5a⁴

b)

-3a³ - 1a²

c)

-2a³ - 6a²

d)

5a³ - 5a²

27.

Simplify:

a)

0

b)

-3n³ +8n

c)

-3n⁶

d)

-6n³

28.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

29.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

30.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

31.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

32.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

33.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

34.

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

a)

-17v⁴ + 4v³ + 2v - 7

b)

-16v⁴ + 4v³ + 10v - 7

c)

-16v⁴ + 4v³ + 7v - 7

d)

-16v⁴ + 4v³ + 2v - 7

35.

Simplify the expression:
(5b - 3b³ - 8b²) - (2b³ - 4b² + 6b - 3b⁴)

a)

3b⁴ - 5b³ - 11b² - b

b)

3b⁴ - 5b³ - 11b² - 9b

c)

3b⁴ - 5b³ - 11b² - 15b

d)

3b⁴ - 5b³ - 4b² - b

36.

Simplify the expression:
(7k + 2k³ - 8k⁴) - (4k³ - 5k + 4k² - 7k⁴⁾

a)

-k⁴ - 2k³ - 4k² + 12k

b)

-2k³ - 7k² + 12k + 4k⁴

c)

-2k³ - 4k³² + 12k + 4k⁴

d)

-2k³ - 4k² + 12k

37.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

38.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

39.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

40.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

41.

Find the sum.
(2x² + 5x - 7) +
(- 4x² + 6x + 3)

a)

2x²+ 3x + 1

b)

-2x²- 11x - 4

c)

2x² + 5x - 7

d)

-2x² + 11x - 4

42.

Find the Sum

(5x + 2) + (4x + 5)

a)

9x – 7

b)

-9x–11

c)

9x+7

43.

Solve the following problem.

(7x² +3x + 10) - (4x²+ 2x + 6)

a)

3x² -5x + 16

b)

11x² + 5x + 16

c)

3x² + x + 4

d)

7x² + x + 6

44.

Find the sum.

(12x² - 8x + 12) +

(x² + 6x + 3)

a)

12x²+ 2x + 12

b)

13x² - 2x + 15

c)

12x²- 2x + 15

d)

11x²- 14x + 15

45.

Solve the following problem.

(4x² +10x - 8) - (2x² - 2x + 6)

a)

2x² +8x - 2

b)

6x² -12x - 14

c)

2x² + 12x -14

d)

6x² + 8x + 2

46.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

47.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

48.

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

a)

-17v⁴ + 4v³ + 2v - 7

b)

-16v⁴ + 4v³ + 10v - 7

c)

-16v⁴ + 4v³ + 7v - 7

d)

-16v⁴ + 4v³ + 2v - 7

49.

Add or Subtract to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

50.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

51.

Add or Subtract to Simplify:
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

52.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

53.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

54.

The perimeter of the
triangle is $10x+20$ . Find the length of the missing side.

a)

$6x+10$

b)

$15x+30$

c)

$5x+10$

d)

$5x-10$

55.

Which expression represents the perimeter?

a)

3x + 3

b)

4x + 3

c)

4x + 6

d)

6x + 6

56.

a)

6b

b)

b + 5

c)

b + 9

d)

b - 13

57.

a)

4x

b)

4x + 30

c)

4x - 30

d)

4x + 2

58.

a)

2a + 14

b)

a + 4

c)

2a -12

d)

2a - 8

59.

a)

z + 6

b)

z + 11

c)

3z + 11

d)

3z + 8

60.

a)

t + 18

b)

2t + 18

c)

2t + 12

d)

2t + 24

61.

a)

w - 18

b)

w- 16

c)

4w - 34

d)

4w + 34

62.

a)

16u + 20

b)

34u + 36

c)

24u + 16

d)

30u + 26

63.

Find the perimeter of a square with side length of

x+2

a)

$4x+8$

b)

$2x+4$

c)

$x^2+4x+4$

d)

$4x^4+8$

64.

Find the perimeter of the triangle

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

65.

Find the perimeter of a rectangle with a length of $5x-6$ and a width of $3x^2$

a)

$6x^2+10x-12$

b)

$6x^4+10x^2-12$

c)

$6x^2+10x$

d)

$6x^2+10x+12$

66.

Find the perimeter of a rectangle with length (x-5) and width (3x+1).

a)

8x-8

b)

4x-4

c)

8x+8

d)

4x+12

67.

Multiply

a)

b)

c)

d)

68.

Multiply

a)

b)

c)

d)

69.

Multiply

a)

b)

c)

d)

70.

Multiply

a)

b)

c)

d)

71.

Multiply

a)

b)

c)

d)

72.

Multiply

a)

b)

c)

d)

73.

Multiply

a)

b)

c)

d)

74.

Multiply

a)

b)

c)

d)

75.

4m(3m⁷ + 2m⁵)

a)

7m⁷ + 6m⁶

b)

12m⁸ + 8m⁶

76.

5x(4x³ + 8)

a)

9x⁴ + 40x

b)

20x⁴ + 40x

c)

20x³ + 40x

d)

9x⁴ + 13x

77.

Simplify:
x²(2x+3)

a)

x²+2x+3

b)

2x+3

c)

2x²+3x

d)

2x³+3x²

78.

3a(5a² + 8a + 2)

a)

15a³ + 24a² + 6a

b)

10a³ + 24a + 6

79.

Multiply.
$2\left(x-4\right)$

a)

$24x^2+12x$

b)

$2x-8$

c)

$6x^3+4x^2$

d)

$8x+8$

80.

Multiply.
$6x^2\left(2x-1\right)$

a)

$20x^4-16x^3$

b)

$12x^3-6x^2$

c)

$48x^3-48x^2$

d)

$10x-4$

81.

Multiply.
$3\left(5n-7\right)$

a)

$6n+12$

b)

$12n+16$

c)

$12n^4-21n^3$

d)

$15n-21$

82.

Multiply.
$5v^3\left(2v^2+6v-7\right)$

a)

$25v^4+25v^3-30v^2$

b)

$56v^2-14v-7$

c)

$10v^5+30v^4-35v^3$

d)

$40v^3+40v^2-20v$

83.

Multiply.
$4k\left(2k^2+5k+1\right)$

a)

$7k^3-56k^{20}-28k$

b)

$8k^2+10k-10$

c)

$21k^2-24k-24$

d)

$8k^3+20k^2+4k$

84.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

85.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

86.

Find the product:
(n - 5)(n - 1)

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

87.

(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

88.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

89.

Which of the following is a binomial?

a)

5x + 11

b)

x² + 3x + 6

c)

12x²y

d)

x² - 4x + 10

90.

Simplify
(p − 8)²
Hint: (p − 8)² = (p − 8)(p − 8)

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

91.

Multiply:

\left(2x-7\right)\left(x+2\right)

a)

$2x^2-5x+4$

b)

$2x^2+3x+14$

c)

$2x^2-3x-14$

d)

$x^2+3x-14$

92.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

93.

Write in standard form:

2x\left(x+3\right)

a)

$3x+6$

b)

$2x^2+6$

c)

$2x^2+6x$

d)

$8x$

94.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

95.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

96.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

97.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

98.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

99.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

100.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

101.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

102.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

103.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

104.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

105.

(4x - 1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 13x + 2

d)

20x² − 3x − 2

106.

Multiply
(x+5)²

a)

x²+25

b)

x²-25

c)

x²+10x+25

d)

x²-10x+25

107.

Multiply:

(y + 9)²

a)

y² +18y + 81

b)

y² + 81

c)

y + 9

d)

y² +18y + 18

108.

Multiply:

(z + 10)²

a)

z² + 10z + 100

b)

z² + 20z + 100

c)

z² + 100

d)

z² + 20z + 20

109.

Multiply:

(2x + 1)²

a)

4x² + 1

b)

4x² + 2x + 1

c)

4x² + 4x + 1

d)

2x² + 4x + 1

110.

Multiply:

(a + b)²

a)

a² + 2ab + b²

b)

a² + 2ab + 2b

c)

a² + 4a + b²

d)

a² + 2a + b²

111.

Multiply:

(x - 3)²

a)

x² + 9

b)

x² - 6x - 9

c)

x² - 6x + 9

d)

x² - 3x - 9

112.

Multiply:

(p - 4)²

a)

p - 8p + 4

b)

p² - 8p + 16

c)

p² - 4p + 16

d)

p² - 4p + 8

113.

Multiply:

(t - 9)(t + 9)

a)

t² - 18t - 81

b)

t² + 18t - 81

c)

t² + 81

d)

t² - 81

114.

Multiply:

(p + 7)(p - 7)

a)

p² - 49

b)

p² + 49

c)

p² - 14p - 49

d)

p² + 14p + 49

115.

Multiply:

(3x + 4)(3x - 4)

a)

9x² + 16

b)

9x² - 16

c)

9x² - 12x - 16

d)

9x² - 24x - 16

116.

Multiply:

(a - b)(a + b)

a)

a² + b²

b)

a² - 2ab - b²

c)

a² + 2ab - b²

d)

a² - b²

117.

BOX 1:

(x² + 12)(x² - 12) =

a)

x² - 144

b)

x⁴ - 144

c)

x - 144

d)

x⁴ + 144

118.

BOX 4: Multiply the binomials.

(x + 8)(x - 8)

a)

x² + 8x + 64

b)

x² + 64

c)

x² - 64

d)

x² + 16x - 64

119.

Simplify.
(y − 5)(y + 5)

a)

y² + 25

b)

y² + 10y + 25

c)

y² − 10y + 25

d)

y² − 25

120.

(y + 2)(y - 2)

a)

y² + 4

b)

y² + 4y - 4

c)

y² - 4y + 4

d)

y² - 4

121.

(c + 9)(c - 9)

a)

c² - 81

b)

c² + 81

c)

c² - 18c - 81

d)

c² + 18c - 81

122.

a)

$x^2-25$

b)

$x^2+10x+25$

c)

$x^2-10x+25$

d)

$x^2+25$

123.

a)

$100x^2+9$

b)

$100x^2+60x+9$

c)

$100x^2-60x+9$

d)

$100x^2-9$

124.

a)

$64a^2+64a+16$

b)

$64a^2-64a+16$

c)

$64a^2+16$

d)

$64a^2-16$

125.

a)

$36v^2-9$

b)

$36v^2-36v+9$

c)

$36v^2+9$

d)

$36v^2+36v+9$

126.

Simplify.
(n + 8)²

a)

2n + 16n + 64

b)

n² + 16n + 64

c)

n² + 64

d)

n² + 8n + 64

127.

Simplify.
(x − 8)²

a)

x² + 16x − 64

b)

x² − 16x + 64

c)

x² − 64

d)

x² + 16x + 64

128.

Simplify.
(y − 5)(y + 5)

a)

y² + 25

b)

y² + 10y + 25

c)

y² − 10y + 25

d)

y² − 25

129.

Simplify.
(p − 6)²

a)

p² + 36

b)

p² + 12p − 36

c)

p² − 12p + 36

d)

p² − 36

130.

Simplify.
(2b − 6)(2b + 6)

a)

4b² − 24b − 36

b)

4b² − 36

c)

2b² − 36

d)

4b − 36

131.

Simplify.
(2k − 5)²

a)

4k² − 10k + 25

b)

4k² − 20k + 25

c)

2k² − 20k + 25

d)

4k² − 25

132.

(x+1)²

a)

x²-1

b)

x²+x+1

c)

x²+1

d)

x²+2x+1

133.

Multiply (5x-3)(5x+3)

a)

25x²-15x-9

b)

25x²+15x-9

c)

25x²-9

d)

25x²+9

134.

(x - 4)²

a)

x² + 8x - 16

b)

x² - 8x + 16

c)

x² - 16x + 8

d)

x² + 16x - 8

135.

(y + 2)(y - 2)

a)

y² + 4

b)

y² + 4y - 4

c)

y² - 4y + 4

d)

y² - 4

136.

Find the area of a square with side length $x+2$

a)

$x^2+4x+4$

b)

$x^2+2x+4$

c)

$4x+8$

d)

$x^2+4$

137.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

138.

The length of a rectangle is x + 2 units and the width is 3x + 7

units. Find the area.

a)

3x² + 9x + 14 square units

b)

3x² + 13x + 14 square units

c)

4x + 9 square units

d)

8x + 18 square units

139.

What is the area of the ractangle?

a)

$25x^{2\ }-\ 20x$

b)

$20x\ -\ 8$

c)

$10x\ -\ 4$

d)

44

140.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

141.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

142.

What is the are of the triangle that has a height of $x^2$ and a base of $2x+6$

a)

$x^3+3x^2$

b)

$x^3+6x^2$

c)

$2x^3+6x^2$

d)

$2x^3+3x^2$

143.

What is the area of a square with sides $\left(4x+3\right)$ ?

a)

$16x^2+9$

b)

$16x+12$

c)

$16x^2+24x+9$

d)

$16x^2+14x+9$

144.

What is the area of a square if the sides are $\left(2x+9\right)$ ?

a)

$4x^2+36x+81$

b)

$4x^2+81$

c)

$4x^2+22x+18$

d)

$8x+36$

145.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

146.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

147.

a)

-5x¹⁰

b)

4x⁴+ 18x⁶

c)

-6x⁴+ 16x²

d)

4x⁴- 9x²

148.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

149.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

150.

Divide 8x² -4x + 12 by 2x

a)

4x+2

b)

4x-2+6/x

c)

4x-2

d)

4x-2+1/(6x)

151.

Divide 16x⁴ + 8x³ - 4x² by 4x²

a)

12x² + 4x

b)

12x² + 4x - 1

c)

4x² + 2x - 1

d)

4x² + 2x

152.

$\frac{\text{3}x^2-2xy}{\text{2x}}$

a)

$1.5x^{3\ }-x^2y$

b)

$1.5x\ -\ y$

c)

$1.5x\ +\ y$

d)

$1.5x\ -\ 2y$

153.

$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$

a)

$3abc\ -\ 4abc$

b)

$3abc^{3\ }-\ 4b$

c)

$3a^3b^2c^{4\ }-\ 4b$

d)

$3abc\ +4b$

154.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

155.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

156.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

157.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

158.

3.) Simplify
(45x⁶y⁹) / (5x⁴y²)

a)

(9x²)/y⁷

b)

40x²y⁷

c)

9x²y⁷

d)

9x¹⁰y¹¹

159.

Simplify
$\frac{10x^8y^5}{4x^2y^5}$

a)

$6x^6y$

b)

$\frac{5x^6}{2}$

c)

$\frac{5x^6y}{2}$

d)

$6x^6$

160.

(x²-3x+2)/(x-2)

a)

x+1

b)

x-2

c)

x-1

d)

2x+2

161.

(2x⁴-7x³+14x²-55x+21)
___________________________
(2x-7)

a)

x²+7x-3

b)

x³-7x-3

c)

x²-7x+3

d)

x³+7x-3

162.

(x⁴+12x³+37x²+14x)/(x²+7x)

a)

x²+5x+2

b)

x²-5x-2

c)

x²-5x+2

d)

x²-5x-2

163.

a)

2x - 5

b)

x - 4 + (3/4x - 5)

c)

2x + 4 + (3/4x - 5)

d)

2x + 4

164.

a)

x + 5 + (2/2x - 4)

b)

x - 8

c)

x - 5 + (3/2x - 4)

d)

x + 5

165.

a)

A

b)

B

c)

C

d)

D

166.

Divide (x² + 5x - 8) by (x + 3). What is the remainder?

a)

16

b)

12

c)

-14

d)

-16

167.

What is the quotient when (10n²- 37n - 12) is divided by (n - 4)?

a)

(10n - 3)

b)

(3n - 10)

c)

(10n + 3)

d)

(3n + 10)

168.

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

a)

True

b)

False

169.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

170.

Find the quotient when (21x²- 52x + 32) is divided by (7x - 8).

a)

3x + 4

b)

3x + 3

c)

3x - 4

d)

3x + 2

171.

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

a)

x + 8

b)

x + 14

c)

x + 10

d)

x +4

172.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

173.

DIVIDE BY LONG DIVISION

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

174.

a)

2x³ + 3x + (7/x-4)

b)

2x² + 3x + 8 + (7/x-4)

c)

2x² + 3x + 8

d)

2x² - x + 10 + (6/x-4)

175.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

A1-CHAPTER 7 TEST 2024-25

Total questions: 175

Worksheet time: 11hrs 14mins

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